Cohomology of Artin groups over local coefficients
by
Mario Salvetti
Coauthors: C. De Concini, C. Procesi

For all Artin groups associated to finite, irreducible Coxeter groups, we give a complete description of the cohomology with coefficients in naturally associated local system over Q[q,q^{-1]. The answer is particularly interesting and neat in case of classical braid-groups, where the cohomology table has quite "visible" arithmetical properties.

The proof uses previous constructions and spectral sequence-like arguments.

Date received: June 4, 1999